A bob of mass $10\, kg$ is attached to wire $0.3\, m$ long. Its breaking stress is $4.8 \times 10^7 N/m^2$. The area of cross section of the wire is $10^{-6} m^2$. The maximum angular velocity with which it can be rotated in a horizontal circle ....... $rad/sec$
  • A$8$
  • B$4$
  • C$2$
  • D$1$
Medium
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    When compared with solids and liquids, the gases have
    View Solution
  • 2
    A sphere contracts in volume by $0.01 \%$ when taken to the bottom of sea $1 \,km$ deep. Find Bulk modulus of the material of sphere ........... $N / m ^2$
    View Solution
  • 3
    $A$ and $B$ are two wires. The radius of $A$ is twice that of $B.$ They are stretched by the some load. Then the stress on $B$ is
    View Solution
  • 4
    A metal wire of length $L_1$ and area of cross section $A$ is attached to a rigid support. Another metal wire of length $L_2$ and of the same cross sectional area is attached to the free end of the first wire. A body of mass $M$ is then suspended from the free end of the second wire. If $Y_1$ and $Y_2$ are the Youngs moduli of the wires respectively, the effective force constant of the system of two wires is :
    View Solution
  • 5
    $1\, m^3$ water is brought inside the lake upto $200$ metres depth from the surface of the lake. What will be change in the volume when the bulk modulus of elastically of water is $22000$ atmosphere? (density of water is $1\times10^3\, kg/m^3$ atmosphere pressure $= 10^5\, N/m^2$ and $g = 10\, m/s^2$)
    View Solution
  • 6
    The possible value of Poisson's ratio is
    View Solution
  • 7
    A rubber cord catapult has cross-sectional area $25\,m{m^2}$ and initial length of rubber cord is $10\,cm.$ It is stretched to $5\,cm.$ and then released to project a missile of mass $5gm.$ Taking ${Y_{rubber}} = 5 \times {10^8}N/{m^2}$ velocity of projected missile is ......... $ms^{-1}$
    View Solution
  • 8
    A block of weight $100 N$ is suspended by copper and steel wires of same cross sectional area $0.5 cm ^2$ and, length $\sqrt{3} m$ and $1 m$, respectively. Their other ends are fixed on a ceiling as shown in figure. The angles subtended by copper and steel wires with ceiling are $30^{\circ}$ and $60^{\circ}$, respectively. If elongation in copper wire is $\left(\Delta \ell_{ C }\right)$ and elongation in steel wire is $\left(\Delta \ell_{ s }\right)$, then the ratio $\frac{\Delta \ell_{ C }}{\Delta \ell_{ S }}$ is. . . . . .

    [Young's modulus for copper and steel are $1 \times 10^{11} N / m ^2$ and $2 \times 10^{11} N / m ^2$ respectively]

    View Solution
  • 9
    If one end of a wire is fixed with a rigid support and the other end is stretched by a force of $10 \,N,$ then the increase in length is $0.5\, mm$. The ratio of the energy of the wire and the work done in displacing it through $1.5\, mm$ by the weight is
    View Solution
  • 10
    The Young's modulus of a wire is $y$. If the energy per unit volume is $E$, then the strain will be
    View Solution